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Finding the Fourth Proportional to 30,843, 46,270.98 and 12,375

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Solution

The fourth proportional to 30,843, 46,270.98 and 12,375 is: 18,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843 : 46,270.98 = 12,375 : x
  2. Step 2: Convert to fraction form
    30,843/46,270.98 = 12,375/x
  3. Step 3: Cross multiply
    30,843x = 46,270.98 × 12,375
  4. Step 4: Simplify right side
    30,843x = 572,603,377.50
  5. Step 5: Solve for x
    x = 572,603,377.50/30,843
  6. Step 6: Final answer
    x = 18,565.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.